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Galaxies 2018, 6(1), 21; https://doi.org/10.3390/galaxies6010021

The Avoidance of the Little Sibling of the Big Rip Abrupt Event by a Quantum Approach

1
Departamento de Física, Universidade da Beira Interior, Rua Marquês D’Ávila e Bolama, 6200-001 Covilhã, Portugal
2
Centro de Matemática e Aplicações, Universidade da Beira Interior, Rua Marquês D’Ávila e Bolama, 6200-001 Covilhã, Portugal
3
Department of Theoretical Physics, University of the Basque Country, UPV/EHU, P.O. Box 644, 48080 Bilbao, Spain
4
Ikerbasque, Basque Foundation for Science, 48011 Bilbao, Spain
5
Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências da Universidade de Lisboa, Edifício C8, Campo Grande, 1749-016 Lisbon, Portugal
6
Departamento de Física Teórica and UPARCOS, Universidad Complutense de Madrid, E-28040 Madrid, Spain
7
UPARCOS, Universidad Complutense de Madrid, E-28040 Madrid, Spain
*
Author to whom correspondence should be addressed.
Received: 29 November 2017 / Revised: 19 January 2018 / Accepted: 22 January 2018 / Published: 6 February 2018
(This article belongs to the Special Issue Cosmology and the Quantum Vacuum)
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Abstract

We address the quantisation of a model that induces the Little Sibling of the Big Rip (LSBR) abrupt event, where the dark energy content is described by means of a phantom-like fluid or a phantom scalar field. The quantisation is done in the framework of the Wheeler–DeWitt (WDW) equation and imposing the DeWitt boundary condition; i.e., the wave function vanishes close to the abrupt event. We analyse the WDW equation within two descriptions: First, when the dark energy content is described with a perfect fluid. This leaves the problem with the scale factor as the single degree of freedom. Second, when the dark energy content is described with a phantom scalar field in such a way that an additional degree of freedom is incorporated. Here, we have applied the Born–Oppenheimer (BO) approximation in order to simplify the WDW equation. In all cases, the obtained wave function vanishes when the LSBR takes place, thus fulfilling the DeWitt boundary condition. View Full-Text
Keywords: dark energy; cosmological singularities; quantum cosmology dark energy; cosmological singularities; quantum cosmology
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Albarran, I.; Bouhmadi-López, M.; Cabral, F.; Martín-Moruno, P. The Avoidance of the Little Sibling of the Big Rip Abrupt Event by a Quantum Approach. Galaxies 2018, 6, 21.

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